You are a Design Engineer working on a $6-$story office building that includes one level of underground

parking. The General Contractor requires that the basement level space be open for temporary storage of

construction materials. You have been asked to design a reinforced concrete transfer beam $($yes$,$ I know

this is a steel design course$)$ at the grade level floor structure to support the Contractor$$s tower crane

during construction $($see Figure attached$).$ The following information is provided on the crane:

$$ It is a steel truss system where all joints can be assumed as frictionless pins. That is all members

can only resist tension or compression loads $($i$.$e$.,$ cannot resist shear or bending$).$

$$ The tower crane base connections to the transfer beam at $$B$$ and $$C$$ can be idealized as a pin

and roller support, respectively.

$$ Ignore the self$-$weight of the steel tower crane. Only consider the applied loads shown on the

tower crane and concrete transfer beam self$-$weight. Loads on the tower crane only consist of

Dead Loads $($D$),$ Live Loads $($L$),$ and Wind Loads $($W$)$ as shown; all other load effects are zero.

The load combinations to consider are given below.

Load Combinations:

$($ASCE$7)$

$($a$)$ U $=1\mathrm{.}4$D

$($b$)$ U $=1\mathrm{.}2$D $+1\mathrm{.}6$L $+0\mathrm{.}5($Lr or S or R$)$

$($c$)$ U $=1\mathrm{.}2$D $+1\mathrm{.}6($Lr or S or R$)+($L or $0\mathrm{.}5$W$)$

$($d$)$ U $=1\mathrm{.}2$D $+$ W $+$ L $+0\mathrm{.}5($Lr or S or R$)$

$($e$)$ U $=1\mathrm{.}2$D $+$ E $+$ L $+0\mathrm{.}2$S

$($f$)$ U $=0\mathrm{.}9$D $+$ W

$($g$)$ U $=0\mathrm{.}9$D $+$ E

It is also important to point out that at any given time, the concentrated dead load and live loads shown on

the crane will always occur simultaneously. Therefore, you can eliminate load combinations $($a$),($f$),$ and

$($g$)$ as noted above.

Part $(1)$

Draw the concrete transfer beam unfactored shear and bending moment diagrams considering only:

i$.$ Dead Load $($don$$t forget to include the self$-$weight of the transfer beam$)$

ii$.$ Live Load

iii. Wind Load

The following information is provided on the transfer beam:

$$ Assume normal weight concrete with a density of $150$ pcf

$$ Beam can be considered as a simply supported with a span of $40$ feet.

$$ Note that the tower crane support reactions at $$B$$ and $$C$$ should be applied opposite and equal

on the transfer beam when drawing the beam shear and moment diagrams.

Part $(2)$

Using the load combinations, calculate the transfer beam$$s absolute maximum factored shear and moment

that would be used for design of that beam.